| The nonrelativistic limit in radiation hydrodynamics: I. Weak entropy solutions for a model problem | |
| Rohde, Christian ; Yong, Wen-An | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | nonrelativistic limit radiation hydrodynamics discrete ordinates difference scheme BV-estimate weak-* convergence COUPLED HYPERBOLIC SYSTEMS SCALAR CONSERVATION-LAWS Mathematics |
| 中文摘要 | This paper is concerned with a model system for radiation hydrodynamics in multiple space dimensions. The system depends singularly on the light speed c and consists of a scalar nonlinear balance law coupled via an integral-type source term to a family of radiation transport equations. We first show existence of entropy solutions to Cauchy problems of the model system in the framework of functions of bounded variation. This is done by using difference schemes and discrete ordinates. Then we establish strong convergence of the entropy solutions, indexed with c, as c goes to infinity. The limit function satisfies a scalar integro-differential equation. (c) 2006 Elsevier Inc. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/14138]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Rohde, Christian,Yong, Wen-An. The nonrelativistic limit in radiation hydrodynamics: I. Weak entropy solutions for a model problem[J],2010, 2010. |
| APA | Rohde, Christian,&Yong, Wen-An.(2010).The nonrelativistic limit in radiation hydrodynamics: I. Weak entropy solutions for a model problem.. |
| MLA | Rohde, Christian,et al."The nonrelativistic limit in radiation hydrodynamics: I. Weak entropy solutions for a model problem".(2010). |
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